This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Right millicentodongo023, let's go. Problem 1: Step 1: Identify the given values and the formula for weight. The weight of the rock (W) is 1.6 N. The gravitational field strength (g) on the moon is 1.6 N/kg. The formula relating weight, mass, and gravitational field strength is: W = m × g where m is the mass. Step 2: Rearrange the formula to solve for mass and substitute the values. To find the mass (m), we rearrange the formula: m = (W)/(g) Substitute the given values: m = 1.6 N1.6 N/kg m = 1 kg The mass of the rock is 1 kg. Problem 2: Step 1: Calculate the total cost price (CP) of the books. Mwanahawa buys 400 books for 5600. Total CP = 5600 Step 2: Calculate the revenue from the first batch of books. She sells 200 books at 240 each. Revenue from 1st batch = 200 × 240 = 48000 Step 3: Calculate the revenue from the second batch of books. She sells 140 books at 160 each. Revenue from 2nd batch = 140 × 160 = 22400 Step 4: Calculate the number of remaining books and their revenue. Remaining books = Total books - Books sold in 1st batch - Books sold in 2nd batch Remaining books = 400 - 200 - 140 = 60 She sells the remaining 60 books at 55 each. Revenue from remaining books = 60 × 55 = 3300 Step 5: Calculate the total selling price (SP). Total SP = Revenue from 1st batch + Revenue from 2nd batch + Revenue from remaining books Total SP = 48000 + 22400 + 3300 = 73700 Step 6: Calculate the profit. Profit = Total SP - Total CP Profit = 73700 - 5600 = 68100 Step 7: Calculate the percentage profit. Percentage Profit = ProfitTotal CP × 100\% Percentage Profit = (68100)/(5600) × 100\% Percentage Profit = 12.160714... × 100\% Percentage Profit ≈ 1216.07\% Mwanahawa's percentage profit is approximately 1216.07%. Send me the next one 📸